PENSION PLANS - Additional Information (Details) $ in Millions	3 Months Ended		12 Months Ended
	Jan. 03, 2020 USD ($)	Dec. 29, 2017 USD ($)	Jan. 03, 2020 USD ($) Plans	Dec. 28, 2018 USD ($) Plans	Dec. 29, 2017 USD ($)
Defined Benefit Plan Disclosure [Line Items]
Consolidated weighted-average discount rate	2.75%		2.75%	3.59%
Projected benefit obligation	$ 586.5	$ 533.4	$ 586.5	$ 504.1	$ 533.4
Net unfunded status	(71.0)		$ (71.0)	$ (55.2)
Weighted-average expected long-term rate of return on plan assets			6.01%	5.63%	5.59%
Plan assets actual gain (loss) Percentage			16.80%	(4.20%)
Plan assets at fair value	515.5	489.9	$ 515.5	$ 448.9	$ 489.9
Company contributions to plan assets	10.9	11.3	6.3	7.4
Purchase of annuity			(1.5)	(0.5)
Accumulated other comprehensive loss before tax	144.5	112.2	$ 144.5	$ 126.7	112.2
Participants years of service required to receive credit equal to 2.5%			5 years
Period of service required to get fully vested in hypothetical personal retirement account balance			3 years
Mortality improvement projection assumption				80.00%
Change in assumption of mortality rate			$ 5.2	$ (2.8)
Number of plans with accumulated benefit obligations in excess of fair value of plan assets | Plans			9	10
Aggregate accumulated benefit obligation for pension plans with accumulated benefit obligations in excess of plan assets	261.8		$ 261.8	$ 220.3
Aggregate fair value of plan assets for pension plans with accumulated benefit obligations in excess of plan assets	208.3		208.3	179.0
Expected future benefit payments in next twelve months	16.5		$ 16.5
Minimum period of service required to get enrolled In tax deferred plan			60 days
Percentage of match on defined contribution by participants			50.00%
Maximum annual contributions per employee eligible for match			5.00%
Defined contribution plan expense			$ 14.4	13.8	13.3
Treasury note rate term			10 years
Number of previous month of ten year treasury note rate used to calculate average rate for interest accrual			3 months
Interests accrual factor			1.4
Current deferred compensation liability	3.4		$ 3.4	3.4
Noncurrent deferred compensation liability	42.2		42.2	42.0
Cash surrender value of life insurance	41.4		41.4	$ 37.0
Other Pension Plan [Member]
Defined Benefit Plan Disclosure [Line Items]
Expected future benefit payments in next twelve months	$ 1.1		$ 1.1
Minimum [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined contribution discretionary contribution percentage			2.00%
Maximum [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined contribution discretionary contribution percentage			2.50%
UNITED STATES
Defined Benefit Plan Disclosure [Line Items]
Consolidated weighted-average discount rate	3.33%		3.33%	4.28%
Projected benefit obligation	$ 297.2	275.8	$ 297.2	$ 261.5	$ 275.8
Net unfunded status	0.3		$ 0.3	$ (1.1)
Weighted-average expected long-term rate of return on plan assets			6.25%	6.25%	6.25%
Plan assets at fair value	297.5	280.8	$ 297.5	$ 260.4	$ 280.8
Company contributions to plan assets			0.0	0.0
Purchase of annuity		(11.3)	0.0	0.0
Accumulated benefit obligation	293.2		293.2	$ 258.2
Expected future benefit payments in next twelve months	$ 10.9		$ 10.9
Foreign Plan [Member]
Defined Benefit Plan Disclosure [Line Items]
Consolidated weighted-average discount rate	2.15%		2.15%	2.84%
Projected benefit obligation	$ 289.3	257.6	$ 289.3	$ 242.6	$ 257.6
Net unfunded status	(71.3)		$ (71.3)	$ (54.1)
Weighted-average expected long-term rate of return on plan assets			5.68%	4.81%	4.79%
Plan assets at fair value	218.0	$ 209.1	$ 218.0	$ 188.5	$ 209.1
Company contributions to plan assets			6.3	7.4
Purchase of annuity			(1.5)	(0.5)
Accumulated benefit obligation	253.3		253.3	$ 212.6
Estimated future employer contributions in next fiscal year	6.6		6.6
Expected future benefit payments in next twelve months	$ 5.6		$ 5.6